1152732000 has 192 divisors, whose sum is σ = 4316143104. Its totient is φ = 263462400.

The previous prime is 1152731959. The next prime is 1152732001. The reversal of 1152732000 is 2372511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152732001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77139 + ... + 90861.

It is an arithmetic number, because the mean of its divisors is an integer number (22479912).

Almost surely, 2^1152732000 is an apocalyptic number.

1152732000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158071552).

1152732000 is an abundant number, since it is smaller than the sum of its proper divisors (3163411104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1152732000 is a wasteful number, since it uses less digits than its factorization.

1152732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758 (or 13740 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1152732000 is about 33951.9071629268. The cubic root of 1152732000 is about 1048.5185457067.

The spelling of 1152732000 in words is "one billion, one hundred fifty-two million, seven hundred thirty-two thousand".